111100100110031 has 2 divisors, whose sum is σ = 111100100110032. Its totient is φ = 111100100110030.

The previous prime is 111100100109979. The next prime is 111100100110049. The reversal of 111100100110031 is 130011001001111.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 111100100110031 - 2⁶ = 111100100109967 is a prime.

It is a super-2 number, since 2×111100100110031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111100100109994 and 111100100110021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111100100110231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55550050055015 + 55550050055016.

It is an arithmetic number, because the mean of its divisors is an integer number (55550050055016).

Almost surely, 2^{111100100110031} is an apocalyptic number.

111100100110031 is a deficient number, since it is larger than the sum of its proper divisors (1).

111100100110031 is an equidigital number, since it uses as much as digits as its factorization.

111100100110031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 11.

Adding to 111100100110031 its reverse (130011001001111), we get a palindrome (241111101111142).

The spelling of 111100100110031 in words is "one hundred eleven trillion, one hundred billion, one hundred million, one hundred ten thousand, thirty-one".